What 2 square numbers subtract to make 8523?

What two square numbers subtract to make 8523? In other words, when you subtract one square number from another square number, the answer is 8523. What are the two square numbers?

First, note that a square number is what you get when you multiply a number by itself, which means that the square root of a square number will equal a whole number. Thus, this is what we are solving:

A² - B² = 8523

We solved the equation above and found this to be true:

478² - 469² = 8523

478² is 228484 and 469² is 219961, therefore the answer to the question "What 2 square numbers subtract to make 8523?" is 228484 and 219961 as illustrated below:

228484 - 219961 = 8523

Note that there may be more than one solution to a problem like this. Above, we found the lowest combination of square numbers that subtract to 8523. Below we list alternate solutions if available.

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